This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

The SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pretest is provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacherâ€™s assistance for better understanding of the lesson. At the end of each module, you need to answer the posttest to self-check your learning. Answer Key is provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator.

This module contains activities, discussions and practice exercises on how to determine the center and radius of a circle given its equation and vice versa. This particular topic is essential in Coordinate Geometry. Understanding coordinate geometry has important applications like mapping in aeronautics and navigation, finding the distance and midpoints between points and many more in other different fields. Thus, it is important for you to know how to determine the center and radius of circles given its equation and vice versa.

At the end of this module, you will be able to achieve the following objectives:

1. illustrate the center-radius form of the equation of a circle, and

2. determine the center and radius of a circle given its equation and vice versa.

## Grade 10 Mathematics Quarter 2 Self-Learning Module: Writing Equation of a Circle and Determining the Center and Radius of a Circle

CO_Math10_Q2_Module8